A Gentle Introduction to Homological Mirror Symmetry
eBook - PDF

A Gentle Introduction to Homological Mirror Symmetry

Raf Bocklandt

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eBook - PDF

A Gentle Introduction to Homological Mirror Symmetry

Raf Bocklandt

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About This Book

Homological mirror symmetry has its origins in theoretical physics but is now of great interest in mathematics due to the deep connections it reveals between different areas of geometry and algebra. This book offers a self-contained and accessible introduction to the subject via the representation theory of algebras and quivers. It is suitable for graduate students and others without a great deal of background in homological algebra and modern geometry. Each part offers a different perspective on homological mirror symmetry. Part I introduces the A-infinity formalism and offers a glimpse of mirror symmetry using representations of quivers. Part II discusses various A- and B-models in mirror symmetry and their connections through toric and tropical geometry. Part III deals with mirror symmetry for Riemann surfaces. The main mathematical ideas are illustrated by means of simple examples coming mainly from the theory of surfaces, helping the reader connect theory with intuition.

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Information

Publisher
Cambridge University Press
Year
2021
ISBN
9781108644112
Topic
Mathematics
Subtopic
Topology
Index
Mathematics

Table of contents